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Extension of the Erberlein-Smulian Theorem to Normed Spaces

Wha Suck Lee
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Abstract

The Erberlein-Smulian Theorem asserts that for complete normed spaces, that is Banach spaces, a subset is weak compact if and only if it is weak sequentially compact. In this paper it is shown that the completeness of the normed space is not necessary for the above mentioned result.

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Wha Suck Lee. 2005-04-29. Extension of the Erberlein-Smulian Theorem to Normed Spaces. https://arxiv.org/abs/math/0504592

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